Usually there will be codes for coil circuit a,b,c failures with electrically related concerns with the coils. Not all the time, though.
To verify the injector pulse, yes, a noid light is the easiest way.
If you run a compression test, run it with the engine disabled so it won't start, then do a
running compression test also. Usually one or the other is able to identify a valve train issue.
The PCM will add fuel to try to help out a cylinder that is misfiring, you're right there also.
You want to check the oil pressure at the oil filter housing. Remove the oil pressure switch which is screwed into the housing right behind the filter and put the guage in there.
Yes, it might be less hassle and cost effective in the long run to have the dealer run a few tests with their equipment.
Ok, I think I hit on all of those questions. Ford site is still down, there's a message there about updating the servers. I have the VIN stored on our post here, so I'll keep trying it periodically.